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Finding the Fourth Proportional to 1,465.40, 2,022.28 and 802.28

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Solution

The fourth proportional to 1,465.40, 2,022.28 and 802.28 is: 1,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.40 : 2,022.28 = 802.28 : x
  2. Step 2: Convert to fraction form
    1,465.40/2,022.28 = 802.28/x
  3. Step 3: Cross multiply
    1,465.40x = 2,022.28 × 802.28
  4. Step 4: Simplify right side
    1,465.40x = 1,622,434.80
  5. Step 5: Solve for x
    x = 1,622,434.80/1,465.40
  6. Step 6: Final answer
    x = 1,107.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.